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Finding the Fourth Proportional to 3,842.03, 5,302.67 and 2,838.95

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Solution

The fourth proportional to 3,842.03, 5,302.67 and 2,838.95 is: 3,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.03 : 5,302.67 = 2,838.95 : x
  2. Step 2: Convert to fraction form
    3,842.03/5,302.67 = 2,838.95/x
  3. Step 3: Cross multiply
    3,842.03x = 5,302.67 × 2,838.95
  4. Step 4: Simplify right side
    3,842.03x = 15,054,015.00
  5. Step 5: Solve for x
    x = 15,054,015.00/3,842.03
  6. Step 6: Final answer
    x = 3,918.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.